26
Britt Engineering Associates, Inc. Birmingham. Alabama www.beacom.com September 30, 2018 Technical Note Subject: FRP Flange Design Ref: Thomas E. Graham, FRP Flanges for Process Pipe and Tanks, NACE, 1989 Background In 1986-87 we encountered some major flange failures that developed after about a year of service in a new bleach plant in NC. We performed the pipe stress analysis and provided assistance to the client’s purchasing department during the bidding process. The low bidder offered the two piece flange even though integral flanges were specified the bid was accepted by the client. Also the client had experienced earlier problems with filament wound pipe and designated contact molded for all systems. Some of these flange problems are presented in the NACE paper along with incidences occurring at other plants that we were asked to analyze. Graham’s paper was received with great interest and more than 100 copies were distributed to the attendees of the 1989 conference. A US University and a German University asked permission to use the information in a mechanical engineering class. NACE was contacted and gave approval to use the copyright material. Tom passed away some years ago but he conducted a number of seminars that were requested by several engineering firms. I believe the information is relevant today and may be of interest to engineers who are engaged in FRP piping system design. Flanges are one of the weak links in piping. Sincerely, Frank Britt PE Attachments: 1. Thomas E. Graham, FRP Flanges for Process Pipe and Tanks, NACE, 1989 2. ADDENDUM

Flange Graham MEMO - beacomp.combeacomp.com/wp-content/uploads/2018/01/Flange-Paper.pdf · efforts to use the Taylor-Forge flange design procedure for flat face flanges (3) normally

Embed Size (px)

Citation preview

Page 1: Flange Graham MEMO - beacomp.combeacomp.com/wp-content/uploads/2018/01/Flange-Paper.pdf · efforts to use the Taylor-Forge flange design procedure for flat face flanges (3) normally

Britt Engineering Associates, Inc. Birmingham. Alabama www.beacom.com September 30, 2018 Technical Note Subject: FRP Flange Design Ref: Thomas E. Graham, FRP Flanges for Process Pipe and Tanks, NACE, 1989 Background In 1986-87 we encountered some major flange failures that developed after about a year of service in a new bleach plant in NC. We performed the pipe stress analysis and provided assistance to the client’s purchasing department during the bidding process. The low bidder offered the two piece flange even though integral flanges were specified the bid was accepted by the client. Also the client had experienced earlier problems with filament wound pipe and designated contact molded for all systems. Some of these flange problems are presented in the NACE paper along with incidences occurring at other plants that we were asked to analyze. Graham’s paper was received with great interest and more than 100 copies were distributed to the attendees of the 1989 conference. A US University and a German University asked permission to use the information in a mechanical engineering class. NACE was contacted and gave approval to use the copyright material. Tom passed away some years ago but he conducted a number of seminars that were requested by several engineering firms. I believe the information is relevant today and may be of interest to engineers who are engaged in FRP piping system design. Flanges are one of the weak links in piping. Sincerely,

Frank Britt PE Attachments:

1. Thomas E. Graham, FRP Flanges for Process Pipe and Tanks, NACE, 1989 2. ADDENDUM

Page 2: Flange Graham MEMO - beacomp.combeacomp.com/wp-content/uploads/2018/01/Flange-Paper.pdf · efforts to use the Taylor-Forge flange design procedure for flat face flanges (3) normally

FRP FLANGES for PROCESS PIPE and TANKS

By

THOMAS E. GRAHAM PE

Consult ing Engineer

Presented at

NACE

Tenth Biennial

MANAGING CORROSION WITH PLASTICS

SYMPOSIUM

November 6 1989

San Antonio, Texas

Page 3: Flange Graham MEMO - beacomp.combeacomp.com/wp-content/uploads/2018/01/Flange-Paper.pdf · efforts to use the Taylor-Forge flange design procedure for flat face flanges (3) normally

I . A B S T R A C T :

This paper discusses details of manufacture, design, and application of contact molded flanges used in process piping and tanks and includes case histories and stress analysis of typical installations. Several failures will be discussed along with an analysis of the causes. Fabrication methods that have improved reliability and strength are presented.

I I . I N T R O D U C T I O N :

FRP f langes become necessary when joining pipe to tanks, pumps, valves and other equipment. This necess itates that FRP f langes match metallic f lange standards in regards to bolting patterns and f lange diameters. Due to the lower modulus of elasticity of FRP, along with other unique characterist ics of f iberglass, this requires careful design and good fabrication techniques in order to achieve a seal under all service and environmental conditions. This paper deals with the requirements for FRP f langes and some designs that have worked and discusses some designs that have given problems in the past. Only contact molded f langes are considered. The main object ive of a f langed joint is to affect a seal between the f iberglass pipe and the component to which it interfaces. To prevent leakage in a gasketed joint of any design, a bolt force is required to compress the softer gasket material so that the gasket seating surface fills the asperities of the contact faces of the two mating surfaces. Leakage is prevented only if the gasket material actually f ills all depressions of the seal contact faces and the f lange-hub assembly is suff iciently rigid that it is not distorted under the bending and torsional effects of the eccentric loading of the f lange due to pressure, gravity, temperature, and bolt pre-load. This seal must be maintained throughout the life of the joint. Care must be exercised to prevent "blow-out" of the gasket due to low sealing stress, especially on flanges that have a very slick surface such as those la id up on a g lass surface . The same results can occur if low durometer gaskets are used for high pressure service. Gaskets of 40 durometer should not be used in pressure service above 50 psi. (4)

I I I . F R P F L A N G E R E Q U I R E M E N T S :

A. PS-15-69: When an engineer needs to design a f lange he has a limited number of resources to work with. NBS VOLUNTARY PRODUCT STANDARD PS-15-69 has been, and continues to be, the main source for f lange information for FRP process pipe and duct. But, PS- 15-69 begins in Section 3.5.7. on f langes, with the statement "The use of f langes shall normally be kept to a minimum..." this doesn ’t give the engineer a very confident feeling about designing f langes. Then he looks in Table 5 for the thickness requirements and f inds that the table is not f i l led out for large pipe diameters and high design pressures.(1)

B. ASME SECTION VIII: Having run into this dilemma he turns to the ASME CODE SECTION VIII for BOILER AND PRESSURE VESSEL DESIGN only to find the following under ARTICLE 3-4 entitled FLANGES WITH OTHER THAN RING TYPE GASKETS, "The rules in Article 3-3 shall not be construed to prohibit the use of other types of bolted f langed connections, such as f langes using full-face gaskets or other means of f ixing or clamping the

Page 4: Flange Graham MEMO - beacomp.combeacomp.com/wp-content/uploads/2018/01/Flange-Paper.pdf · efforts to use the Taylor-Forge flange design procedure for flat face flanges (3) normally

f lange at the bolt circle to provide effective restraint against f lange deflection. Such designs may be used provided they are designed in accordance with good engineering practice and the method of design is acceptable to the Inspector." [2]

C. Taylor-Forge method of design: Fortunately there have been a number of efforts to use the Taylor-Forge flange design procedure for f lat face f langes (3) normally used in FRP piping systems. The background for this method is in metallic flanges. FRP is an anisotropic material whereas the theoretical and testing work or f langes is based on orthotropic material. The question has to be raised as to whether the procedure is directly applicable. FRP flanges that have been designed and used in the past become a bench mark in evaluating the design methods for sizes and service condit ions within this experience range. However, much needs to be done in the area of f lange test ing and analyt ical work to bring f langes within the realm of component design that is based on sound design standards that assures the engineer that his design and specif ication of f langes wil l result in a reliable system instead of a weak link.

IV. FRP FLANGE DESIGN:

TAYLOR-FORGE METHOD: Let us look at a typical f lange to see what potential problems might arise and what variables the designer has to work with that can result in a reasonably sound design that can be fabricated with as little difficulty as possible. Figure 2 shows a f lange that is typical of that used for FRP pipe. Since the bolting pattern is set by standards for metallic pipe that usually mates to the FRP flange and the f lange OD is set within certain limits, that leaves the f lange thickness and the hub reinforcing as variables that can be changed to meet the design requirements. There does no t appear to be a restrict ive limit on f lange thickness except economy in design, but there is a l imit on the hub reinforcement thickness because of the bolt location and a possible interference with the installation of bolts. (See the right side of Fig. 1.)

The stresses that a f lange undergoes are illustrated in f igure 1 (see Appendix). There are four primary stresses that normally determine the design of the flange. These are, (1) SH, which is the longitudinal stress in the pipe wall and hub area, (2) SR which is the radial stress in the f lange at the inside diameter of the f lange, (3) ST which is the tangential or hoop stress acting on the cross sectional area of the flange and is maximum at the inside diameter of the flange acting in conjunction with SR, and (4) SR A D which is the radial stress at the section where the bolt holes remove material and weaken the section. (See the Appendix for nomenclature used in the analysis.) These stresses result from installation and operating conditions which includes loads from internal pressure, thermal effects, beam bending act ion, and preload from the bolts. Some of these loads are direct loads that cause axial tensile stress and some cause bending due to being eccentrically applied and result in bending stresses that can add to the axial tensile stress. For instance, all tensile loads that are transmitted through the flange to the mating flange must travel through the bolts since this is the only structural system that is capable of res ist ing these tensi le loads. The loads are t ransmitted back to the f lange skirt which results in bending stresses in the f lange at the bolt locations. See Fig. 2 for flange loading assumptions for stress analysis.

Now look at a typical design that i l lustrates a procedure for controlling stresses within limits that can be tolerated for f iberglass pipe. PS-15-69 has a

Page 5: Flange Graham MEMO - beacomp.combeacomp.com/wp-content/uploads/2018/01/Flange-Paper.pdf · efforts to use the Taylor-Forge flange design procedure for flat face flanges (3) normally

foot note under TABLE 5 for f lange thickness select ion which states that, “This Table is based on a factor cf safety cf 8 TO 1 and a flexural strength of 20,000 psi. This latter value is slightly under the minimum f lexural strength for laminates of 3/8 inch and up (see Table 1), due to the manufacturing technique."[1] Other requirements of PS-15-69 include the hub reinforcing length to be equal to four (4) times the f lange thickness and the hub reinforced thickness equal to 1/2 the f lange thickness as a minimum. The example problem will be performed on a 42 inch f lange at 150 psi to i l lustrate the problems that occur in designing large diameter, high pressure flanges.

The matter of hub reinforcement thickness is subject to some interpretat ion. Some have assumed that the requirement is that the tapered portion of the hub outside of the structural wall of the pipe be equal to 1/2 the f lange thickness as indicated in ASTM Standard D 3299 for tanks, (5) Table 4 of this Standard shows this as a requirement for contact-molded flanged nozzles. However, the table only applies to 25 psi rating. If the same requirements are applied to 150 psi f langes, then the hub reinforcement extends out into the bolt hole area and much of it is cut out when spot-facing for the washers and bolts. This cutout material is not accounted for in the design procedure and thus the f lange is weakened to a point below the strength ind ica ted by the design procedure. PS-15-69 does no t specifically state that this is a requirement; but, when flanges are molded onto a piece of pipe, it becomes a requirement due to the nature of the fabrication. This type of f lange has had problems in the past on some projects due to its two piece construction and the weakened area at the secondary bond interface. Our example problem is for an integral hub f lange with one piece construction.

Three cases are calculated based on the hub reinforcement requirements, (1) The hub dimension equal to 1/2 the flange thickness plus the pipe wall thickness, (2) the hub thickness equal to 1/2 the flange thickness, and (3) the hub thickness set to clear the spot face dimension as much as possib le. The results are summarized in the following table:

CASE 1 CASE 2 CASE 3

FLANGE THICKNESS MAX HUB THICKNESS INTEFERENCE BETWEEN HUB AND SPDTFACE MAX. STRESS

3.0625 5.125 7.0625 3.6563 2.5625 2.125

1.5313 0.4375 0.125 2451.5 (Sr) 2422.2 (Sh) 2520.3(Sh)

I t is ev ident when look ing at these th ree cases tha t the hub thickness is critical in limiting the longitudinal stress at the hub-f lange intersection. The f lange thickness has to increase much more than the reduction in the hub thickness as shown in the three cases. The wall thickness for 150 psi rated HLU pipe necessitates that the spot-face at least get into the fillet area of the hub-flange junction, even when no hub is used as for case 3.

Page 6: Flange Graham MEMO - beacomp.combeacomp.com/wp-content/uploads/2018/01/Flange-Paper.pdf · efforts to use the Taylor-Forge flange design procedure for flat face flanges (3) normally

FRP FLANGES for PROCESS PIPE and TANKS

6

V. DESIGNS THAT HAVE HAD PROBLEMS:

A. Twenty inch stock line in bleach plant: The flanges involved were for 12 inch, 18" and 20" pipe. The project pipe fabrication was split into two orders to expedite pipe shipment. Part of the pipe was hand-lay-up and part was f i lament wound. A l l of the f langes were hand-lay-up with stub flanges except in several cases where pipe routing dictated that flanges be made onto some 90 degree elbows in order to f it in the cramped space (see Fig. 5.) The f langes were photographed and identif ied as to location.

The f lange construction for the pipe is shown in f igures 3 and 4. One Fabricator laid the f lange up directly on a straight pipe, sect ion with the hub reinforcement thickness equal to one half the f lange thickness when measured from the OD of the pipe (see Fig. 3). The pipe for this f lange was 150 psi contact molded pipe and the f lange thickness was 2 5/16 inches from face of f lange to the spot-face surface. The spot-facing for the bolt holes cut into the hub area as shown in Figure 3b. The other fabricator laid the f langes upon tapered pipe or f ittings as shown Figs. 4 and 5. An effort was made to minimize the hub thickness to avoid interference with the spot facing.

There were numerous cracks at the centerline of the bolt holes in both directions as well as at the hub-f lange intersect ion. The major cracks that led to leakage were in the f langes that were fabricated according to the technique shown in Fig 4, whereas the cracks in the flanges constructed according to Fig. 3 appeared to be superficial even though they were still of a concern. Much of this piping has since been replaced due to process up grades.

A major failure occurred in a 20 inch flange that was made directly on a 90 degree elbow using the technique shown in Fig. 4 and 5. The line was a chlorinated stock l ine operating at 87 psi and 160 degrees F. It was located at the bottom of a 90 feet high chlorination tower and was a critical line, both from a process and safety view point. Fortunately, the failure was detected when it first began to leak badly and temporary reinforcement was added to prevent a catastrophic failure until a new elbow section could be fabricated using the technique shown in Fig. 3 and installed. Other contributing factors to the cracking and failure of the flanges were the thin, hard gasket material used along with the high bolt torques that were required to affect a seal. Flat face flanges with full face gaskets require a sealing stress ever the entire area of the gasket which results in a large bolt load if the gasket has a high durometer. A low durometer gasket should be used to reduce the seating stress of the gasket and thus result in lower bolt pre-load to effect and maintain a seal.

B. Twenty four inch diameter water line:

This case involved a 24 inch f lange that failed due to bending stresses that resulted f rom unrestrained expansion joint that induced bending from pressure acting on a short offset. This f lange was made up on a stub f lange section without any hub reinforcement (see f ig. 6). The system was designed for 25 psi, but actually operated at about 35 psi. The flange failed upon start-up because there was an unrestrained

Page 7: Flange Graham MEMO - beacomp.combeacomp.com/wp-content/uploads/2018/01/Flange-Paper.pdf · efforts to use the Taylor-Forge flange design procedure for flat face flanges (3) normally

expansion joint at the pump flange which isolated the FRP pipe f rom pump vibrat ions. The yield ing of the expansion joint under pressure created a high bending moment on the flange and it cracked immediately. It was replaced with a higher rated f lange and restraints were added to the expansion joint.

C. A sixty-six inch diameter cooling water l ine for a power plant:

This f lange was 6 inches thick and built on a piece of pipe with two piece construction. It developed cracking at the f lange-hub junction when the restraining bolts at an expansion joint were left loose and the pressure caused the elbow to move and induced a high bending moment. Fortunately the f lange was supported with a component support that acted as a semi-anchor and reduced the bending moment on the flange.

D. A forty-two inch flange for a 100 psi salt water pumping station:

These f langes were fabricated 4 inches thick using one piece construction. The Contractor called to complain about losing the gasket due to blow-out even though he had used the recommended torque supplied by the fabricator. The faces of the flange had been made on a glass table and were very smooth and slick. This resulted in blow-out of the gaskets even though the bolt torque was adequate for ordinary 100 psi service. After some calculations, it was decided to increase the bolt torque 50 foot pounds f rom the original 120 foot pounds specified. All the joints sealed except one. It was taken apart and some debris was found between the flanges that caused the leakage. The f langes sealed with the addit ional bolt loads without failure.

VI. RECOMMENDED FLANGE DESIGN AND DETAIL:

Fig. 7 shows a method of f lange construct ion that the E n g i n e e r i n g d e p a r t m e n t h a s r e c o m m e n d e d a n d u s e d o n p r o j e c t s f o r m a n y years. This flange is a one piece, integral unit. The hub reinforcement is built up to a thickness equal to one half the f lange thickness. Woven roving is made continuous from the shell and hub into the flange as well as the mat layers. The additional thickness of the flange is made up using donut shape sections of mat alternated between the layers of woven roving.

Table 1 presents dimensions for this type of f lange for sizes 2" through 42" and pressure ratings from 25 psi through 150 psi. In the calculations an attempt is made to minimize the interference between the spot-facing for the bolt holes and the hub reinforcement by setting the hub reinforcement to clear the spot-face diameter and determining the f lange thickness required to bring the stresses ti: 2500 psi or less. A minimum hub shell thickness is set at 1/2 the f lange thickness. Thus, for larger diameters and pressures, the hub stil l encroaches into the spot-face area for the bolts but is held to a minimum.

It can be noted that the f lange thicknesses are greater than those listed in Table 5 of PS-15-69 for many flanges in the table. If the initial assumption had been based on using predetermined f lange thicknesses and determining the hub thickness required the flange thickness would have been the same as in PS-15 where shown. Thus, it becomes obvious when performing analysis on FRP f langes that the geometric restraints for mating up to steel flanges dimensionally creates many prob lems. Th is is compounded by the fact tha t FRP analysis is being performed by procedures and with coefficients that were derived through many years of research, testing and design of steel f langes. The same test ing and research needs to be performed on fiberglass flanges to determine the proper procedures, proportions and factors of

Page 8: Flange Graham MEMO - beacomp.combeacomp.com/wp-content/uploads/2018/01/Flange-Paper.pdf · efforts to use the Taylor-Forge flange design procedure for flat face flanges (3) normally

safety needed to provide reliable f langes. Such test ing would need to be performed on full scale test samples under realist ic condit ions as they occur for FRP pipe installations. This would involve all sizes and pressure ratings acting under the combined effects of pressure and external bending on the f langes at design temperatures. Various gasket materials should be tested to determine the optimum durometer gasket to use and the optimum bolt torque to affect a maintainable seal.

Table 2 gives the results of calculated bolt torques as determined by the analysis that Table 1 is based on. The calculated torques are based on the following:

Maximum calculated bolt torque: Bolt load = W = .5 (Am+ Ab) Sa Bolt torque = (k P Bd] 1/12, where: Bolt torque is in ft. -lbs.

k = .15 for lubricated bolts. Testing indicates that this value can vary between .10 and .23

P=single bolt load, lbs. Bd = bolt diameter, inches

Minimum calculated bolt torque: Bolt load = greater value of Wm1, or Wm2 (see Appendix for

nomenclature and definition of terms.) Bolt torque = (k P Bd) 1/12

Recommended torque is: For 2" thru l6":

Bolt torque = Min. torque + 2/3 (Max. torque - Min. torque), but not less than 25 ft. lbs.

For 18" thru 42": Bolt torque = 1/2 (Min. torque + Max. torque).

It should be noted that bolt torques for pressure piping flanges are affected by many factors, such as type of gasket, length and type of bolts, f lange elast ic modulus and rig idity, temperature, lubricity of bolts, etc. All gaskets creep after they have been loaded by the flanges which results in reduced bolt load. Creep is the tendency for the material to continue plastic deformation with no increase in load. This creep relaxation is greater at higher temperatures. Since most piping systems operate with a f luid temperature that is higher than the ambient temperature at installation, creep due to increased temperature is of concern. It has been reported that 90% of creep takes place in the f irst 24 hours at operating temperature. This makes inspection after start-up an important tool to assure proper bolt torques and other installation parameters have been performed properly. If leaks do occur, the system pressure should be relieved prior to re-torquing the bolts. Re-torquing should be done in approximately 10 f t-lbs increments using the cross-torque method until the leak is stopped. If the maximum bolt torque value in table 2 is reached without stopping the leak, the engineer needs to be consulted to determine the cause to avoid over stressing the flange.

Page 9: Flange Graham MEMO - beacomp.combeacomp.com/wp-content/uploads/2018/01/Flange-Paper.pdf · efforts to use the Taylor-Forge flange design procedure for flat face flanges (3) normally

FRP STUB FLANGE DIMENSIONS AND STRESSES

9

RATING PSI

SIZE IN. A

B

C N

STUB FLANGE DIMENSIONS Bd SF t

h

g0 g1 LEIN 511

STRESSES SR ST

S-RAD

25 2 6 2 4 3/4 4 5/8 1 7/16 5/8 1 7/8 3/16 11/32 6 559 318 230 2,090 3 7 1/2 3 6 4 5/8 1 7/16 5/8 1 7/B 3/16 15/32 6 559 524 229 1,863 4 9 4 7 1/2 8 5/8 1 7/16 3/4 2 1/4 3/16 23/32 6 392 580 167 2,391

6 11 6 9 1/2 8 3/4 1 19/32 13/16 2 7/16 3/16 41/64 8 663 643 232 2,349

8 13 1/2 8 11 3/4 8 3/4 1 19/32 3/4 2 1/4 3/16 49/64 8 683 1,030 311 2,395

10 16 10 14 1/4 12 7/8 1 7/8 1 1/16 3 3/16 3/16 7/8 10 691 716 216 2,327

12 19 12 17 12 7/8 1 7/8 1 3 3/16 1 1/4 10 474 1,082 358 2,427 14 21 14 18 3/4 12 1 2 1/8 1 1/8 3 3/8 1/4 1 12 831 945 294 2,425

16 23 1/2 16 21 1/4 16 1 2 1/8 1 1/4 3 3/4 1/4 1 1/4 12 649 940 294 2,502

18 25 18 22 3/4 16 1 1/8 2 3/8 1 3/8 4 118 1/4 7/8 12 1,243 751 418 2,377

20 27 1/2 20 25 20 1 1/8 2 3/8 1 9/16 4 11/16 1/4 I 15 1,124 689 291 2,393

24 32 24 29 1/2 20 1 1/4 2 5/8 1 5/8 4 7/8 1/4 1 1/8 15 1,160 813 423 2,423

30 38 3/4 30 36 28 1 1/4 2 5/8 1 7/8 5 5/8 5/16 1 3/8 18 1,079 840 266 2,412

36 46 36 42 3/4 32 1 1/2 3 1/8 2 7/16 7 5/16 3/8 1 1/2 21 1,162 650 300 2,492

42 53 42 49 1/2 36 11/2 3 1/8 2 1/2 7 1/2 3/8 1 7/8 24 969 787 302 2,454

50 2 6 2 4 3/4 4 5/8 1 7/16 5/8 1 7/8 3/16 11/32 6 1,117 636 460 2,090

3 7 1/2 3 6 4 5/8 1 7/16 5/8 1 7/8 3/16 15/32 6 1,118 1,047 458 1,863

4 9 4 7 1/2 8 5/8 1 7/16 3/4 2 1/4 3/16 23/32 6 784 1,159 334 2,391

6 11 6 9 1/2 8 3/4 1 19/32 13/16 2 7/16 3/16 41/64 8 1,326 1,286 463 2,349

8 13 1/2 8 11 3/4 8 3/4 1 19/32 3/4 2 1/4 1/4 49/64 8 1,381 2,057 626 2,395

10 16 10 14 1/4 12 7/8 1 7/8 1 1/16 3 3/16 1/4 7/8 10 1,365 1,389 529 2,327

12 19 12 17 12 7/8 1 7/8 1 3 1/4 1 1/4 10 995 2,200 632 2,427

14 21 14 18 3/4 12 1 2 1/8 1 1/8 3 3/8 5/16 1 12 1,677 1,894 579 2,410

16 23 1/2 16 21 1/4 16 1 2 1/8 1 1/4 3 3/4 5/16 1 1/4 12 1,336 1,903 526 2,491

18 25 18 22 3/4 16 1 1/8 2 3/8 1 1/2 4 1/2 3/8 7/8 12 2,475 1,266 689 1,974

20 27 1/2 20 25 20 1 1/8 2 3/8 1 9/16 4 11/16 3/8 1 15 2,242 1,361 640 2,360

24 32 24 29 1/2 20 1 1/4 2 5/8 1 5/8 4 7/8 7/16 1 1/8 15 2,503 1,707 553 2,386

30 38 3/4 30 36 28 1 1/4 2 5/8 1 7/0 5 5/8 1/2 1 3/8 18 2,198 1,672 566 2,364 36 46 36 42 3/4 32 1 1/2 3 1/8 2 7/16 7 5/16 5/8 1 1/2 21 2,385 1,311 553 2,444 42 53 42 49 1/2 36 1 1/2 3 1/8 2 1/2 7 1/2 3/4 1 7/8 24 2,049 1,610 445 2,396

75 2 6 2 4 3/4 4 5/8 1 7/16 5/8 t 7/8 3/16 11/32 6 1,676 954 690 2,128 3 7 1/2 3 6 4 5/8 1 7/16 5/8 1 7/8 3/16 15/32 6 1,677 1,571 686 1,900

4 9 4 7 1/2 8 5/8 1 7/16 3/4 2 1/4 3/16 23/32 6 1,176 1,739 501 2,432

6 11 6 9 1/2 8 3/4 1 19/32 13/16 2 7116 1/4 41/64 8 1,944 1,881 784 2,372 8 13 1/2 8 11 3/4 8 3/4 1 19/32 7/8 2 5/8 1/4 49/64 8 1,906 2,203 825 1,768

10 16 10 14 1/4 12 7/8 1 7/8 1 1/16 3 3116 5/16 7/8 10 2,068 2,098 760 2,336

12 19 12 17 12 7/8 1 7/8 1 1/4 3 3/4 3/8 1 1/4 10 1,408 2,119 591 1,562

14 21 14 18 3/4 12 1 2 1/8 1 1/4 3 3/4 3/8 1 12 2,424 2,260 810 1,940 16 23 1/2 16 21 1/4 16 1 2 1/8 1 3/8 4 1/8 7/16 1 1/4 12 1,987 2,352 671 2,049

18 25 18 22 3/4 16 1 1/8 2 3/8 2 6 1/2 7/8 12 2,482 994 713 1,097 20 27 1/2 20 25 20 1 1/8 2 3/8 2 3/16 6 9/16 1/2 1 15 2,386 958 688 1,187

24 32 24 29 1/2 20 1 1/4 2 5/8 2 1/2 7 1/2 5/8 1 1/8 15 2,420 961 686 992

30 38 3/4 30 36 28 1 1/4 2 5/8 2 7/8 Ii 5/8 3/4 1 3/8 18 2,512 982 645 985 36 46 36 42 3/4 32 1 1/2 3 1/8 3 3/8 10 1/8 1 1 1/2 21 2,465 958 574 1,250

42 53 42 49 1/2 36 1 1/2 3 1/8 3 13/16 11 7/16 1 1 7/8 24 2,499 %8 573 1,005

Page 10: Flange Graham MEMO - beacomp.combeacomp.com/wp-content/uploads/2018/01/Flange-Paper.pdf · efforts to use the Taylor-Forge flange design procedure for flat face flanges (3) normally

FRP STUB FLANGE DIMENSIONS AND STRESSES

10

PRESSURE RATING PSI

PIPE SIZE IN.

A

B

C N

STUB FLANGE DIMENSIONS Bd SF t h g0 gl LOTH SH

STRESSES SR ST

S-RAD

100 2 6 2 4 3/4 4 5/8 1 7/16 5/8 11 7/8 3/16 11/32 6 2,235 1,273 920 2,167 3 7 1/2 3 6 4 5/8 1 7/16 5/8 1 7/8 3/16 15/32 6 2,236 2,094 915 1,937 4 9 4 7 1/2 8 5/8 1 7/16 3/4 2 1/4 1/4 23/32 6 1,554 2,267 745 2,472 6 11 6 9 1/2 8 3/4 1 19/32 7/8 2 5/8/8 1/4 41/64 8 2,504 2,126 968 2,065 8 13 1/2 8 11 3/4 8 3/4 1 19/32 1 3 5/16 49/64 8 2,458 2,216 911 1,360 10 16 10 14 1/4 12 7/8 1 7/8 1 3/8 4 1/8 3/8 7/8 10 2,446 1,585 801 1,400 12 19 12 17 12 7/8 1 7/8 1 3/8 4 1/8 7/16 1 1/4 10 1,867 2,306 71B 1,299 14 21 14 18 3/4 12 1 2 1/8 2 6 1/2 1 12 2,472 1,034 793 753 16 23 1/2 16 21 1/4 16 1 2 1/8 1 5/8 4 7/B 9/16 1 1/4 12 2,508 2,200 763 1,461 18 25 18 22 3/4 16 1 1/8 2 3/8 2 1/4 6 3/4 5/8 1 1/8 12 2,491 1,015 746 856 20 27 1/2 20 25 20 1 1/8 2 3/8 2 7/16 7 5/16 11/16 1 7/32 15 2,443 996 740 943 24 32 24 29 1/2 20 1 1/4 2 5/8 2 13/16 8 7/16 13/16 1 13/32 15 2,452 991 671 772 30 38 3/4 30 36 28 1 1/4 2 5/8 3 1/4 9 3/4 1 1 5/8 18 2,508 998 619 754 36 46 36 42 3/4 32 1 1/2 3 1/8 3 13/16 11 7/16 1 1/4 1 29/32 21 2,505 983 503 960 42 53 42 49 1/2 36 1 1/2 3 1/8 4 5/16 12 15/16 1 7/16 2 5/32 24 2,479 975 557 766

125 2 6 2 4 3/4 4 5/8 1 7/16 11/16 2 1/16 3/16 11/32 6 2,475 1,219 1,070 1,822 3 7 1/2 3 6 4 5/8 1 7/16 3/4 2 1/4 1/4 15/32 6 2,355 1,640 1,040 1,371 4 9 4 7 1/2 8 5/8 1 7/16 13/16 2 7/16 1/4 23/32 6 1,856 2,362 871 2,141 6 11 6 9 1/2 8 3/4 1 19/32 1 1/4 3 3/4 5/16 41/64 8 2,483 1,159 858 1,021 8 13 1/2 8 11 3/4 8 3/4 1 19/32 1 7/16 4 5/16 3/8 49/64 8 2,477 1,199 846 661 10 16 10 14 1/4 12 7/8 1 7/8 1 13/16 5 7/16 7/16 29/32 10 2,286 1,000 876 809 12 19 12 17 12 7/B 1 7/8 1 1/2 4 1/2 1/2 1 1/4 10 2,263 2,390 829 1,097 14 21 14 18 3/4 12 1 2 1/8 2 1/4 6 3/4 5/8 1 1/8 12 2,318 990 782 591 16 23 1/2 16 21 1/4 16 1 2 1/8 2 3/8 7 1/8 11/16 1 1/4 12 2,502 1,155 808 681 18 25 18 22 3/4 16 1 1/8 2 3/8 2 1/2 7 1/2 3/4 1 1/4 12 2,429 1,008 711 685 20 27 1/2 20 25 20 1 1/8 2 3/8 2 3/4 8 1/4 7/B 1 3/8 15 2,488 1,004 516 730 24 32 24 29 1/2 20 1 1/4 2 5/8 3 3/16 9 5/16 1 1 19/32 15 2,433 977 459 591 30 38 3/4 30 36 28 1 1/4 2 5/8 3 5/8 10 7/8 1 1/4 1 13/16 18 2,399 970 5B9 593 36 46 36 42 3/4 32 1 1/2 3 1/8 4 3/16 12 9/16, 1 1/2 2 3/32 21 2,424 972 560 779 42 53 42 49 1/2 36 1 1/2 3 1/8 4 3/4 14 1/4 1 3/8 2 3/8 24 2,445 976 528 615

150 2 6 2 4 3/4 4 5/8 1 7/16 3/4 2 1/4 3/16 3/8 6 2,212 1,120 1,202 1,558 3 7 1/2 3 6 4 5/8 1 7/16 7/8 2 5/8 1/4 15/32 6 2,444 1,324 1,086 1,026 4 9 4 7 1/2 8 5/8 1 7/16 7/8 2 5/8 1/4 23/32 6 2,157 2,421 936 1,876 6 11 6 9 1/2 8 3/4 1 19/32 1 3/8 1 1/8 7/16 13/16 8 2,329 1,065 977 852 8 13 1/2 8 11 3/4 8 3/4 1 19/32 I 5/8 4 7/8 7/16 13/16 8 2,386 1,065 888 520 10 16 10 14 1/4 12 7/8 1 7/8 1 15/16 5 13/16 1/2 31/32 10 2,380 1,054 867 710 12 19 12 17 12 7/B 1 7/8 1 13/16 5 7/16 5/8 1 1/4 10 2,495 1,897 839 756 14 21 14 18 3/4 12 1 2 1/8 2 3/8 7 1/8 3/4 1 3/16 12 2,469 1,064 803 528 16 23 1/2 16 21 1/4 16 1 2 1/8 2 11/16 8 1/16 13/16 1 11/32 12 2,422 1,047 791 529 18 25 18 22 3/4 16 1 1/8 2 3/8 2 11/16 8 1/16 15/16 1 11/32 12 2,422 1,022 735 585 20 27 1/2 20 25 20 1 1/8 2 3/8 2 7/8 8 5/8 1 1 7/16 15 2,477 1,038 722 658 24 32 24 29 1/2 20 1 1/4 2 5/8 3 5/16 9 15/16 1 1/4 1 21/32 15 2,502 1,032 645 538 30 38 3/4 30 36 28 1 1/4 2 5/8 3 7/8 11 5/8 1 1/2 1 15/16 18 2,452 1,002 575 508 36 46 36 42 3/4 32 1 1/2 3 1/8 4 1/2 113 1/2 1 7/8 2 1/4 21 2,440 988 544 661 42 53 42 49 1/2 36 1 1/2 3 1/B 5 1/8 115 3/8 2 1/8 2 9/16 24 2,422 977 523 515

Page 11: Flange Graham MEMO - beacomp.combeacomp.com/wp-content/uploads/2018/01/Flange-Paper.pdf · efforts to use the Taylor-Forge flange design procedure for flat face flanges (3) normally

FRP FLANGE BOLT TORQUE COMPARISON

110

NOMINAL DIAMETER PRESSURE

RATING

NUMBER BOLTS BOLT

DIA.

WASHER

DIA.

MASHER

AREA

BOLT

LOAD

BEARING STRESS CALC. BOLT TORO. BOLT TORQUES FROM BOOKS & CATALOGS

MASHER GASKET MAX. MIN. REC. A/B C D E F 6 H

2 25 4 5/8 1 5/16 0.9112 2075 2278 330 16.2 2.1 25 25 25 25 31 25 25 20 50 2138 2346 340 16.6 3.0 25 25 25 25 31 25 25 20 75 2237 2455 356 17.5 4.7 25 25 25 70 31 25 25 20 100 2336 2564 372 18.2 6.2 25 25 25 70 31 25 25 20 125 2435 2672 388 19.0 7.7 25 25 25 80 31 25 25 20 150 2534 2781 403 19.8 9.3 25 25 25 BO 31 25 25 20 ..._-__

3 25 4 5/8 1 5/16 0.9112 2126 2333 229 16.6 2.9 25 25 25 25 31 25 25 20 50 2233 2450 241 17.4 4.6 25 25 25 25 31 25 25 20 75 2379 2611 257 18.6 6.9 25 25 25 70 31 25 25 20 100 2526 2772 272 19.7 9.2 25 25 25 70 31 25 25 20 125 2673 2933 28B 20.9 11.5 25 25 25 80 31 25 25 20 150 2820 3094 304 22.0 13.7 25 25 25 80 31 25 25 20

4 25 8 5/8 1 5/16 0.9112 2014 2298 328 16.4 2.4 25 25 25 25 31 25 25 20 50 2180 2393 342 17.0 3.8 25 25 25 25 31 25 25 20 75 2300 2525 361 18.0 5.7 25 25 25 70 31 25 25 20 100 2421 2657 379 18.9 7.5 25 25 25 70 31 25 25 20 125 2541 2789 398 20.0 9.5 25 25 25 80 31 25 25 20 150 2662 2921 417 20.8 11.3 25 25 25 80 31 25 25 20

6 25 B 3/41 15/32 1.0931 3110 2845 373 29.2 4.0 25 25 25 25 52 25 25 30 50 3262 2984 391 30.6 6.8 25 25 25 25 52 25 25 30 75 3443 3150 413 32.3 10.2 25 25 25 70 52 25 25 30 100 3625 3316 434 34.0 13.6 30 25 25 70 52 25 25 30 125 3806 3482 456 35.7 17.0 30 35 35 80 52 35 35 30 150 3988 3648 478 37.4 20.4 35 40 40 80 52 40 40 30

8 25 8 3/41 15/32 1.0931 3172 2902 273 29.7 5.1 25 25 25 25 52 25 25 40 50 3417 3126 294 32.0 9.7 25 25 25 25 52 25 25 40 75 3676 3363 317 34.5 14.6 30 30 30 70 52 30 30 40 100 3934 3599 339 36.9 19.4 35 40 40 70 52 40 40 40 125 4193 3836 361 39.3 24.3 35 50 50 80 52 50 50 40 150 4452 4073 384 41.7 29.1 40 60 60 80 52 60 60 40

10 25 12 7/81 3/4 1.6199

4299 2654 421 47.0 6.4 30 25 25 25 75 25 25 80

50 4544 2805 445 49.7 11.4 40 25 25 25 75 25 25 80 75 4805 2966 471 52.,6 17.1 40 30 30 70 75 30 30 80 100 5066 3127 496 55.4 22.8 45 40 40 70 75 40 40 80 125 5327 3288 522 58.3 28.6 50 50 50 80 75 50 50 80 150 5588 3449 547 61.1 34.2 55 70 70 80 75 60 70 80

12 25 12 7/81 3/4 1.6199 4419 2728 311 48.3 8.7 35 25 25 25 75 25 25 80 50 4770 2945 336 52.2 16.4 40 25 25 25 75 25 25 80 75 5144 3176 362 56.3 24.6 45 35 35 70 75 35 35 80 100 5518 3406 389 60.4 32.7 50 45 45 70 75 45 45 80 125 5892 3637 415 64.4 40.9 60 60 60 80 75 60 60 80 150 6266 3868 441 68.5 49.1 65 80 80 80 75 75 80 80

14 25 12 1 2 2.1476 5702 2655 356 71.3 10.3 50 25 25 30 110 25 25 100 50 6115 2848 381 76.4 20.6 55 30 30 30 110 30 30 100 75 6528 3040 407 81.6 31.0 65 40 40 80 110 40 40 100 100 6941 3232 433 86.8 41.3 70 60 60 80 110 50 60 100 125 7354 3424 459 91.9 51.6 75 75 75 100 110 70 75 100 150 7767 3617 484 97.1 61.9 95 100 100 100 110 85 100 100

Page 12: Flange Graham MEMO - beacomp.combeacomp.com/wp-content/uploads/2018/01/Flange-Paper.pdf · efforts to use the Taylor-Forge flange design procedure for flat face flanges (3) normally

FRP FLANGE BOLT TORQUE COMPARISON

NOMINAL

DIAMETER

PRESSURERATIN

G

NUMBER

BOLTS

BOLT

DIA.

WASHER

DIA.

WASHER

AREA

BOLT

LOAD BEARING STRESS CALC. BOLT TORO. BOLT TORQUES FROM BOOKS & CATALOGS

WASHER BASKET MAX. MIN. REC, A/B C

DEFG

H

16 25 16 1 2 2.1476 5698 2653 392 71.2 10.2 50 25 25 30 110 25 25 100

50 6106 2843 420 76.3 20.4 55 30 30 30 110 30 30 100 75 6514 3033 448 131.4 30.6 65 50 50 80 110 45 50 100 100 6922 3223 476 86.5 40.8 70 70 70 BO 110 60 70 100 125 7330 3413 504 91.6 56.0 80 80 80 120 110 75 80 100 150 7739 3603 532 96.7 61.2 85 -- -- 120 110 -- -- 100

18 25 16 1 1/8 2 1/4 2.7489 7089 2579 480 99.7 12.3 55 30 30 35 148 30 30 -- 50 7525 2737 509 105.8 24.5 65 35 35 35 148 35 35 -- 75 7960 2896 539 111.9 36.8 75 50 50 90 148 70 80 -- 100 8396 3054 568 118.1 49.0 85 80 80 90 148 70 80 -- 125 8832 3213 598 124.2 61.3 95 100 100 120 148 85 100 -- 150 9268 3372 627 130.0 73.4 100 -- -- 120 148 -- -- --

20 25 20 1 1/8 2 1/4 2.7489 7064 2570 505 99.3 11.6 55 30 30 35 148 30 30 -- 50 7475 2719 534 105.1 23.1 65 35 35 35 148 35 35 -- 75 7886 2869 564 110.9 34.7 75 60 60 90 148 50 60 -- 100 8297 3018 593 1116.7 46.3 85 90 90 90 148 80 90 -- 125 8708 3168 623 122.5 57.8 90 -- -- 120 148 -- -- -- 150 9120 3318 652 128.2 69.4 100 -- -- 120 148 -- -- --

24 25 20 1 1/4 2 1/2 3.4238 9122 2664 518 142.5 18.1 80 35 35 40 199 30 35 --

50 9700 2833 551 151.6 36.1 95 40 40 40 199 40 40 -- 75 10278 3002 584 160.6 54.2 105 70 70 100 199 60 70 -- 100 10857 3171 617 169.6 72.3 120 -- 100 100 199 85 100 -- 125 11539 3370 918 180.3 93.6 140 -- -- 120 199 -- -- -- 150 12138 3545 966 189.7 112.3 150 -- -- 120 199 -- -- --

30 25 28 1 1/4 2 1/2 3.4238 9143 2670 542 142.7 18.7 80 -- -- 45 199 -- -- --

50 9742 2845 577 152.2 37.4 95 -- -- 45 199 -- -- -- 75 10341 3020 613 161.6 56.2 110 -- -- 110 199 -- -- -- 100 10940 3195 648 170.9 74.9 125 -- -- 110 199 -- -- -- 125 11435 3340 484 178.7 90.3 135 -- -- 120 199 -- -- -- ' 150 12013 3509 509 1E17.7108.4 150 -- -- 120 199 -- -- --

36 25 32 1 1/2 3 4.9946 13107 2624 651 245.7 27.1 135 -- -- 50 333 -- -- -- 50 13829 2726 687 259.3 49.1 155 -- -- 50 333 -- --

-- 75 14552 2914 723 272.8 131.3 175 -- -- 120 333 -- -- -- 100 15275 3058 760 286.4 108.4 195 -- -- 120 333 -- -- -- 125 15997 3203 795 300.0 135.5 215 -- -- 120 333 -- -- -- 150 16720 3348 831 3:13.5 162.6 235 -- -- 120 333 -- -- --

42 25 36 1 1/2 3 4.9946 13244 2652 581 248.3 32.3 140 -- -- 55 -- -- -- -- 50 14105 2824 619 264.5 64.5 165 -- -- 55 -- -- -- -- 75 14965 2996 656 280.6 96.8 190 -- -- 120 -- -- -- -- 100 15826 3169 694 296.7 129.0 215 -- -- 120 -- -- -- -- 125 16686 3341 732 3112.9 161.3 235 -- -- -- -- -- -- -- 150 17546 3513 770 329.0 194.0 260 -- -- -- -- -- -- --

Page 13: Flange Graham MEMO - beacomp.combeacomp.com/wp-content/uploads/2018/01/Flange-Paper.pdf · efforts to use the Taylor-Forge flange design procedure for flat face flanges (3) normally

FRP FLANGES for PROCESS PIPE and TANKS

VII. CONCLUSIONS:

Poorly designed, fabricated or installed FRP f langes are a weak link in a piping system. Attention must be paid to many aspects of design, fabrication, and installation to be assured of a reliable f lange. Short cuts or untried methods can lead to trouble. It does not pay to cut corners on f langes to save a few dollars if the piping system is critical to plant operations. Among the things that must be considered to obtain a good installation are,

(1) Select conservative proportions for the f langes such as those in table 5 of PS-15-69. Increase the thickness if the flange is to be mounted on a thin wall pipe such as f i lament wound pipe that has a structural wall below that listed in Table 3 of PS-15-69.

(2) Use one piece fabrication with as much integral hub reinforcement as practical on stub f langes. Avoid building flanges on pipe sections and f ittings if possible.

(3) Select a soft gasket with a Shore A or Shore A2 hardness between 40 and 70.

(4) Use the proper bolt torque to seat the gasket without overloading the f lange. Place a washer under the head and nut of the bolts that are in contact with fiberglass to avoid a bearing stress under the washer that exceeds 2500 PSI.

(5) Provide good support close to the flange if it acts as a beam to avoid high bending moments on the joint. Supports located at the inf lection point (point of zero moment would be ideal). Finally,

(6) use good installation procedures such as keeping the sealing surfaces clean, don't allow the gasket to become twisted or crimped, lubricating the bolts, t ighten the bolts using the cross torque method and incrementally tightening the bolts until the proper torque is obtained, and inspect the flanges after installation, hydro testing, and start-up to assure that there is no visible damage or leaking.

Good flanges begin with good design and specification and are assured through continuous inspection throughout the fabrication and installation. The extra cost of a quality f lange will provide peace of mind to the engineer and plant maintenance superintendent.

The following symbols are used in the equations for the design of flat-faced flanges employing full-face gaskets.

A = outside diameter of flange, in. (mm) AB = total cross‐sectional area of bolts at root diameter of thread or section of least

diameter under stress, in. (mm)

Am = total required cross‐sectional area of bolts, the greater of Wm1/Sb or Wm2 /Sa, in.2

(mm2)

B = inside diameter of flange, in. (mm) b = effective gasket width or joint‐contact‐surface seating width, in. (mm) C = diameter of bolt circle, in. (mm) d = shape factor for integral type flanges

=

d1 = bolt hole diameter

Page 14: Flange Graham MEMO - beacomp.combeacomp.com/wp-content/uploads/2018/01/Flange-Paper.pdf · efforts to use the Taylor-Forge flange design procedure for flat face flanges (3) normally

e = shape factor = F/ho

F = shape factor (Figure M1-300.3.3) f = hub stress correction factor (Figure M1-300.3.4)

= 1 for calculated values less than 1 G = diameter of gasket load reaction g0 = thickness of hub at small end g1 = thickness of hub at back of flange H = hydrostatic end force HD = hydrostatic end force on area inside of flange HG = difference between bolt load and hydrostatic end force HGy = bolt load for gasket yielding

= bπGy H′Gy = compression load required to seat gasket outside G diameter Hp = total joint‐contact‐surface compression load

= 2bπGmp Hp′ = total adjusted joint‐contact‐surface compression for full‐face gasketed flange, lb

=

HT = difference between total hydrostatic end force and the hydrostatic end force area inside of flange

= H − HD h = length of hub, in. hD = radial distance from bolt circle to circle on which HD acts hG = radial distance from bolt circle to circle on which HG acts

= radial distance from bolt circle to gasket load reaction

= flange lever arm

hT = radial distance from bolt circle to circle on which HT acts K = ratio of inside flange diameter to outside flange diameter

L = length of flange including hub M = unit load, operating, lb

= Mmax/B Ma = moment under bolt‐up conditions MD = component of moment due to HD MG = component of moment due to HG Mo = total moment MT = component of moment due to HT m = gasket factor N = number of bolts p = design pressure Sa = allowable bolt stress at ambient temperature Sb = allowable bolt stress at design temperature SFa = allowable flange stress at ambient temperature

Page 15: Flange Graham MEMO - beacomp.combeacomp.com/wp-content/uploads/2018/01/Flange-Paper.pdf · efforts to use the Taylor-Forge flange design procedure for flat face flanges (3) normally

SFo = allowable flange stress at design temperature SH = longitudinal hub stress SR = radial flange stress SRAD = radial stress at bolt circle ST = tangential flange stress T = shape factor (Figure M1-300.3.5) t = flange thickness tn = pipe wall thickness U = shape factor (Figure M1-300.3.5) V = shape factor (Figure M1-300.3.2) Wa = flange design bolt load Wm1 = minimum bolt loading for design conditions Wm2 = minimum bolt loading for bolt‐up conditions Y = shape factor (Figure M1-300.3.5) y = gasket unit seating load Z = shape factor (Figure M1-300.3.5)

Page 16: Flange Graham MEMO - beacomp.combeacomp.com/wp-content/uploads/2018/01/Flange-Paper.pdf · efforts to use the Taylor-Forge flange design procedure for flat face flanges (3) normally
Page 17: Flange Graham MEMO - beacomp.combeacomp.com/wp-content/uploads/2018/01/Flange-Paper.pdf · efforts to use the Taylor-Forge flange design procedure for flat face flanges (3) normally
Page 18: Flange Graham MEMO - beacomp.combeacomp.com/wp-content/uploads/2018/01/Flange-Paper.pdf · efforts to use the Taylor-Forge flange design procedure for flat face flanges (3) normally
Page 19: Flange Graham MEMO - beacomp.combeacomp.com/wp-content/uploads/2018/01/Flange-Paper.pdf · efforts to use the Taylor-Forge flange design procedure for flat face flanges (3) normally
Page 20: Flange Graham MEMO - beacomp.combeacomp.com/wp-content/uploads/2018/01/Flange-Paper.pdf · efforts to use the Taylor-Forge flange design procedure for flat face flanges (3) normally
Page 21: Flange Graham MEMO - beacomp.combeacomp.com/wp-content/uploads/2018/01/Flange-Paper.pdf · efforts to use the Taylor-Forge flange design procedure for flat face flanges (3) normally
Page 22: Flange Graham MEMO - beacomp.combeacomp.com/wp-content/uploads/2018/01/Flange-Paper.pdf · efforts to use the Taylor-Forge flange design procedure for flat face flanges (3) normally

21

Page 23: Flange Graham MEMO - beacomp.combeacomp.com/wp-content/uploads/2018/01/Flange-Paper.pdf · efforts to use the Taylor-Forge flange design procedure for flat face flanges (3) normally

24

Page 24: Flange Graham MEMO - beacomp.combeacomp.com/wp-content/uploads/2018/01/Flange-Paper.pdf · efforts to use the Taylor-Forge flange design procedure for flat face flanges (3) normally

23

Page 25: Flange Graham MEMO - beacomp.combeacomp.com/wp-content/uploads/2018/01/Flange-Paper.pdf · efforts to use the Taylor-Forge flange design procedure for flat face flanges (3) normally
Page 26: Flange Graham MEMO - beacomp.combeacomp.com/wp-content/uploads/2018/01/Flange-Paper.pdf · efforts to use the Taylor-Forge flange design procedure for flat face flanges (3) normally